Finding the Third Proportional to 505.69 and 545.06

Step by Step Solution

1. Step 1: Write the proportion equation
   505.69 : 545.06 = 545.06 : x
2. Step 2: Convert to fraction form
   505.69/545.06 = 545.06/x
3. Step 3: Cross multiply
   505.69x = 545.06 × 545.06
4. Step 4: Simplify right side
   505.69x = 297,093.13
5. Step 5: Solve for x
   x = 297,093.13/505.69
6. Step 6: Final answer
   x = 587.50